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Finding the Third Proportional to 48,854.39 and 107,060.48

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Solution

The third proportional to 48,854.39 and 107,060.48 is: 234,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,854.39 : 107,060.48 = 107,060.48 : x
  2. Step 2: Convert to fraction form
    48,854.39/107,060.48 = 107,060.48/x
  3. Step 3: Cross multiply
    48,854.39x = 107,060.48 × 107,060.48
  4. Step 4: Simplify right side
    48,854.39x = 11,461,947,314.61
  5. Step 5: Solve for x
    x = 11,461,947,314.61/48,854.39
  6. Step 6: Final answer
    x = 234,614.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.